Find the LCM of 417, 403, 775, 901 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 417, 403, 775, 901. So, keep reading to learn more.
Given numbers are 417,403,775,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,403,775,901 is 3785348775.
Find LCM of 417,403,775,901 with Prime Factorization
31 | 417, 403, 775, 901 |
417, 13, 25, 901 |
Multiply the prime numbers at the bottom and the left side.
31 x 417 x 13 x 25 x 901 = 3785348775
Therefore, the lowest common multiple of 417,403,775,901 is 3785348775.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
417 x 403 x 775 x 901 = 117345812025
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
417 : 1, 3, 139, 417
403 : 1, 13, 31, 403
775 : 1, 5, 25, 31, 155, 775
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,403,775,901, is 1.
Now, the common factors can be found like this.
417:3x 139
403:13x 31
775:5x 5x 31
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 117345812025/(1x31)
LCM = 117345812025/31
LCM = 3785348775
Thus, we can understand that the LCM of 417,403,775,901 is 3785348775.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 403, 775, 901?
Answer: LCM of 417, 403, 775, 901 is 3785348775.
2. How to calculate the LCM of 417, 403, 775, 901?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 417, 403, 775, 901.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.